for the kinetic part and the interaction part is [1]}:
\(H_{i n t} &\equiv & \int d x^{-} d^{2} \mathbf {x}\left[-g f^{a b c} \partial _{i} A_{j}^{a} A_{i}^{b} A_{j}^{c} +\frac{g^{2}}{4} f^{a b c} f^{a d e} A_{i}^{b} A_{j}^{c} A_{i}^{d} A_{j}^{e}\right. \nonumber \\&&-g f^{a b c}\left(\partial _{i} A_{i}^{a}\right) \frac{1}{\partial ^{+}}\left(A_{j}^{b} \partial ^{+} A_{j}^{c}\right)+\frac{g^{2}}{2} f^{a b c} f^{a d e} \frac{1}{\partial ^{+}}\left(A_{i}^{b} \partial ^{+} A_{i}^{c}\right) \frac{1}{\partial ^{+}}\left(A_{j}^{d} \partial ^{+} A_{j}^{e}\right) \nonumber \\&&+2 g^{2} f^{a b c} \frac{1}{\partial ^{+}}\left(A_{i}^{b} \partial ^{+} A_{i}^{c}\right) \frac{1}{\partial ^{+}}\left(\psi _{+}^{\dagger } t^{a} \psi _{+}\right)+2 g^{2} \frac{1}{\partial ^{+}}\left(\psi _{+}^{\dagger } t^{a} \psi _{+}\right) \frac{1}{\partial ^{+}}\left(\psi _{+}^{\dagger } t^{a} \psi _{+}\right) \nonumber \\&&-2 g\left(\partial _{i} A_{i}^{a}\right) \frac{1}{\partial ^{+}}\left(\psi _{+}^{\dagger } t^{a} \psi _{+}\right)-g \psi _{+}^{\dagger } t^{a}\left(i\alpha _{i} \partial _{i}+ m \beta \right) \frac{1}{i\partial ^{+}}\left(\alpha _{j} A_{j}^{a} \psi _{+}\right) \nonumber \\&&-g \psi _{+}^{\dagger } t^{a} \alpha _{i} A_{i}^{a} \frac{1}{i \partial ^{+}}\left(i\alpha _{j} \partial _{j} + m\beta \right) \psi _{+} \left.-i g^{2} \psi _{+}^{\dagger } t^{a} t^{b} \alpha _{i} A_{i}^{a} \frac{1}{\partial ^{+}}\left(\alpha _{j} A_{j}^{b} \psi _{+}\right)\right]\) 
